what is the constant of variation K if y varies inversely as x and y = 3 when x = 9​

Sagot :

Answer:

27

Step-by-step explanation:

Y=k/x

If,

3=k/9

k=27

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Answer:

The constant of variation (k) is 27.

Step-by-step explanation:

Mathematical Equation:

[tex]\LARGE\text{$y=\frac{k}{x}$}[/tex]

For the constant of variation (k):

Given:   [tex]y=3[/tex],   [tex]x=9[/tex]

Find:   [tex]k=?[/tex]

Formula:   [tex]y=\frac{k}{x}[/tex]

Solution:

[tex]y=\frac{k}{x}\\3=\frac{k}{9}\\k=(9)(3)\\\boxed{\boldsymbol{k=27}}[/tex]

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